Find f, and f, and evaluate each at the given point. ху f(x, y) = X- y (2, -2) f,(x, y) = f,(x, y) = f,(2, -2) = %3D | ,(2, -2) = %3D

Q: 10 If f(x,y)=xª+6/y- 10 Then fxyx Vy

A: Find the third order partial derivative

Q: Find fx and fy, and evaluate at the given point.

A: The given function is: fx, y=xyx-y and the point is 2, -2. To find the fx and fy, first…

Q: Find f„(x, y). f,(x, y), Sa( – 2, 4), and f,(4, - 3). 5. fх, у) 3D 2х —-5ху 6. f(x, y) = 5x + 7y

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Find f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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Q: (x, y) = (0,0) %3| = {r3+y3' 0, (b) f (x, y) (x, y) # (0,0)

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Q: Find the relative maximum and minimum values. [6.3] 23. f(х, у) 3 х3 - бху + у2 + бх + Зу - } 24.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Please solve

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Q: then ö(x, y) he value of fC

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Q: , (х, у) (0,0) x+y f(x.y)%3D (х, у) (0,0)

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Q: f(x,y,z) = xy + yz + zx, (2, - 2, - 1), A = 3i + 2j - 6k

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Q: Find f, and f, and evaluate each at the given point. 8хy f(x, y) = V3x2 (1, 1) + 6y2 fy(x, y) =…

A: Answer is given below

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = 4e3x + 2y

A: fx,y=4e3x+2y

Q: Find fx(x,y) and fy(x,y). Then find fx(2,1) and fy(3,-2)  f(x,y)=5x3y2 fx(x,y)=________…

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: The given function is fx, y=ln1+5x3y2. Obtain the partial derivatives as follows. fxx, y=∂∂x…

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

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Q: Show that Plx-1,y) = A(x, y) X+ y-1

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Q: find of/öx and df/öy. f(x, y) = (x² - 1)y + 2) f(x, y) = (x + y)/(xy 1) f(x, y) elx+y+1) =

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: f(x, y) = (-x – 2y, x – 4y).

A: Follow the steps.

Q: :f (x, y, 2) = x + y; E = {(x, y, z) |1 0, y > 0}

A: In this question given that a function and it is in the cartetion coordinate. We can convert in…

Q: f(x) = e-X, [0, 2]

A:

Q: F = [r. -x, 0]. = [y. -X, S: 3r + 2y + := 6, x2 0, v 2 0, z 2 0

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Q: Find fx ( x , y ) and fy ( x , y ) . Then, find fx ( 3 , 4 ) and fy ( -2 , 3 ) . f ( x , y ) = 3 x…

A: Given, f(x,y) = 3x2 y3 To find fx(x,y) means partial Differentiation of f(x,y) taking y as constant…

Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: Find ƒxx ( x, y)  and ƒxy( x, y).

A: Given, fx,y=3x+yx-1. The objective is to find fxxx,y and fxyx,y.   fxxx,y is found as follows: First…

Q: Find the relative maximum and minimum values.   f(x,y)=x2+xy+y2−25y+208

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Q: Find f(x, y) and fy(x, y). 25. f(x, y) = y3/2

A: The given function f(x,y)=y-32tan-1xy

Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

Q: Describe and sketch the surface given by the function.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: f(2) — и(х, у) + jo(x, y) и(х, у) — е% сos x — х f (0) = 1

A:

Q: A) f(x,y,z) = 2x + y – z , Q = {(x, y, z): 0 < x, z < 2,-2 < y< 2}

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: f(x, d,Z)cbxcly dz

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Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: g(x, y, z)

A:

Q: b) Find if f(x, y) = ysin( xy)

A: Givenf(x,y)=ysin(xy)find ∂w∂t

Q: Find f, f, and f, and evaluate each at the given point. f(x, y, z) = x?y³ + 2xyz – 7yz, (-2, 1, 2)…

A: The given function is fx,y,z=x2y3+2xyz-7yz and the given point is -2,1,2. Obtain the partial…

Q: f(x,y)= exsin (y), fx(x,y)

A:

Q: Find f(x,y) and fy(x,y). Then, find fx (2, 3) and fy(-1,3) 2ху? f(x,y) e ху + 3 f(x.y)=

A: Given,

Q: If f(x,v) = (y)²x ,Verify fy=fx ху

A: Given:fx,y=y2x Now, the value of fxy will be,fxy=∂2f∂y∂x=∂∂y∂f∂x=∂∂y∂y2x∂x Now, the value of ∂y2x∂x…

Q: 8. xyzx +2y³ (z, = 1

A:

Q: If f(x,y)=x2+2y2, then fx(2,1) and fy(2,1) are...

A: f(x,y)=x2+2y2,find fx(2,1) and fy(2,1)

Q: B. CHain Rule *) f(x)= X+2

A: To find the derivative of the function

Q: x+y Show that: B(x+1, y) = B(x, y)

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = xy + yz + xz

A: Given: fx,y,z=xy+yz+xz

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: a) Given x, find y and calculate the first differences (FD). y=3x x=-3, y= ______, FD = ____ x=-2,…

A: a) Given x, we have to find y and calculate the first differences (FD). y=3x x=-3, y= ______, FD =…

Q: f(x,y)=21 (x+y), x=1,2,3, ; y=1,2 0 , d.d.

A: Given :- fx,y = 121(x+y)        x=1,2,3 and y=1,2 we have to calculate cov(x,y)     Formula:- Covx,y…

Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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Q: - gt V Xu u = (1,3,-3) , v = (4,0,2) e l

A: The given vectors are: u=(1, 3, -3)v=(4, 0, 2)